Triple series evaluated in \(\pi\) and \(\ln 2\) as well as Catalan's constant \(G\)

DOI10.1134/S0965542523110143MaRDI QIDQ6148033

Chun-li Li, Chu, Wenchang

Publication date: 11 January 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

infinite seriesdefinite integralhartial fraction decomposition

Mathematics Subject Classification ID

Quantum computation (81P68) Integral representations of finite groups (20C10) Decomposition theory for (C^*)-algebras (46L45) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15) Associative rings of fractions and localizations (16S85)

Cites Work

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• A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
• Hypergeometric series and harmonic number identities
• Harmonic number identities via polynomials with \(r\)-Lah coefficients
• Summation formulae involving harmonic numbers
• POWER SERIES WITH SKEW-HARMONIC NUMBERS, DILOGARITHMS, AND DOUBLE INTEGRALS
• Integrals evaluated in terms of Catalan's constant
• A Catalan constant inspired integral odyssey

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